Approximation of nonlinear spectral problems in a Hilbert space

DOI10.1134/S0012266115070113zbMath1328.65131MaRDI QIDQ745271

Sergei I. Solov'ev

Publication date: 14 October 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

positive definite quadratic formsRayleigh-Ritz methodcompact quadratic formsconvergence of approximationserror estimates for approximationsfinite-dimensional approximations of linear problems in Hilbert spacesnonlinear eigenvalue problems for quadratic formssymmetric quadratic forms

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (9)

Eigenvibrations of a bar with elastically attached load ⋮ Eigenvibrations of a beam with elastically attached load ⋮ Eigenvibrations of a beam with load ⋮ Quadrature finite element method for elliptic eigenvalue problems ⋮ Error investigation of a finite element approximation for a nonlinear Sturm-Liouville problem ⋮ Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem ⋮ Finite element approximation of the minimal eigenvalue and the corresponding positive eigenfunction of a nonlinear Sturm-Liouville problem ⋮ Error of the finite element approximation for a differential eigenvalue problem with nonlinear dependence on the spectral parameter ⋮ Approximation of positive semidefinite nonlinear eigenvalue problems

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